Note: n$=11$

$1-$ At a construction site $(50+0\mathrm{.}1n)$ tons of cement, $170$ tons of sand, $(270-0\mathrm{.}3n)$ tons of gravel are available.

As the site manager you know that you have to produce a total of $(175+0\mathrm{.}1n)m^3$ of concrete.

In the laboratory the moisture content of sand and gravel was determined as $1\mathrm{.}2\%$ and $0\mathrm{.}2\%,$ respectively.

And the absorption capacities are $0\mathrm{.}8\%$ for both materials.

SSD bulk specific gravities are $2\mathrm{.}70$ and $2\mathrm{.}60$ for gravel and sand, respectively.

Specific gravity of cement is $3\mathrm{.}15\frac{t}{m^3}.$

It is required to produce concrete with the following proportions;

Cement: $375k\frac{g}{m^3},$ Sand$($SSD$)$: $600k\frac{g}{m^3},$ Gravel$($SSD$)$: $850k\frac{g}{m^3},$ and $\frac{w}{c}=0\mathrm{.}45.$

Calculate the maximum volume of concrete that can be produced with the available materials at the field?

NOTE: $n$ is the last two digits of student's number. $($i$.$e$.$ Student's number: $1791132751,n=51.$